研究高维向量值双正交小波包的构造及性质.引进一类紧支撑高维向量值双正交小波包的概念.运用傅立叶变换、积分变换和算子理论,讨论了这种向量值双正交小波包的性质.
This paper is to investigate the biorthogonal vector-valued wavelet packets in higher dimensions. A class of compactly supported biorthogonal vector-valued multivariate wavelet packets are defined and constructed. By using Fourier transform integral tramsform and operator theory,the properties of the biorthogonal multi- variate vector-valued wavelet packets are investigated and biorthogonality formulae are obtained.